if `|z^2-1|=|z|^2+1` then `z` lies on

If a complex number |z ^2-1|=|z|^2+1 , then z lies on :

If 1z^(2)-1|=|z|^(2)+1, then z lies on (1)An ellipse (3)A circle 89.(2) The imaginary axis (4) The real axis

If |z^(2)-1|=|z^(2)|+1 , then z lies on

If |3z-1|=3|z-2|, then z lies on

For complex number z,|z-1|+|z+1|=2 then z lies on

If abs(z^2-1)=absz^2+1 , then z lies on

For complex number z,|z-1|+|z+1|=2, then z lies on